Multiple Choice
Use the elimination method to solve the following system of linear equations.
117
views
5. Systems of Linear Equations
Solving Systems of Linear Equations by Elimination
Multiple Choice
Use the elimination method to solve the following system of linear equations.
A
B
C
D
Verified step by step guidance1
Write down the system of equations: \(10x - 4y = 5\) and \(5x - 4y = 1\).
Subtract the second equation from the first to eliminate \(y\): \((10x - 4y) - (5x - 4y) = 5 - 1\).
Simplify the subtraction to get an equation with only \(x\): \(10x - 4y - 5x + 4y = 4\) which reduces to \(5x = 4\).
Solve for \(x\) by dividing both sides by 5: \(x = \frac{4}{5}\).
Substitute \(x = \frac{4}{5}\) back into one of the original equations (for example, \(5x - 4y = 1\)) and solve for \(y\).